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    Axially Symmetric Waves in Elastic Rods

    Source: Journal of Applied Mechanics:;1960:;volume( 027 ):;issue: 001::page 145
    Author:
    R. D. Mindlin
    ,
    H. D. McNiven
    DOI: 10.1115/1.3643889
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A system of approximate, one-dimensional equations is derived for axially symmetric motions of an elastic rod of circular cross section. The equations take into account the coupling between longitudinal, axial shear, and radial modes. The spectrum of frequencies for real, imaginary, and complex wave numbers in an infinite rod is explored in detail and compared with the analogous solution of the three-dimensional equations.
    keyword(s): Waves , Rods , Equations , Frequency , Shear (Mechanics) , Spectra (Spectroscopy) AND Motion ,
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      Axially Symmetric Waves in Elastic Rods

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    contributor authorR. D. Mindlin
    contributor authorH. D. McNiven
    date accessioned2017-05-08T23:12:55Z
    date available2017-05-08T23:12:55Z
    date copyrightMarch, 1960
    date issued1960
    identifier issn0021-8936
    identifier otherJAMCAV-926086#145_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/95611
    description abstractA system of approximate, one-dimensional equations is derived for axially symmetric motions of an elastic rod of circular cross section. The equations take into account the coupling between longitudinal, axial shear, and radial modes. The spectrum of frequencies for real, imaginary, and complex wave numbers in an infinite rod is explored in detail and compared with the analogous solution of the three-dimensional equations.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAxially Symmetric Waves in Elastic Rods
    typeJournal Paper
    journal volume27
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3643889
    journal fristpage145
    journal lastpage151
    identifier eissn1528-9036
    keywordsWaves
    keywordsRods
    keywordsEquations
    keywordsFrequency
    keywordsShear (Mechanics)
    keywordsSpectra (Spectroscopy) AND Motion
    treeJournal of Applied Mechanics:;1960:;volume( 027 ):;issue: 001
    contenttypeFulltext
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